Foundation November 2020 Paper 2 Q14
14
(a)
(i) Sketch the graph of \(x = 3\).
Show clearly the value of any intercepts.
Show clearly the value of any intercepts.

[2]
(ii) Sketch the graph of \(y = x^2 + 1\).
Show clearly the value of any intercepts.
Show clearly the value of any intercepts.

[2]
(b) Toby has sketched the graph of \(y = \dfrac{1}{x}\) below.

Make two comments about the accuracy of his sketch. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) \(x = 3\) sketched correctly with 3 indicated on \(x\)-axis as \(x\) – intercept | 2 | M1 for a vertical line or a dotted vertical line passing through 3 | Condone good freehand |
| (ii) \(y = x^2 + 1\) sketched correctly with 1 indicated as \(y\)-intercept | 2 | M1 for correct shape or \(y\)-intercept at 1 but not \(y = 1\) | Condone good freehand |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| It should not touch the axes oe | 1 | Accept responses on the graph | |
| It should also have a curve in the 3rd quadrant oe | 1 | ||